Opuscula Math. 32, no. 1 (2012), 31-40
http://dx.doi.org/10.7494/OpMath.2012.32.1.31
Opuscula Mathematica
Weak solutions for nonlinear fractional differential equations with integral boundary conditions in Banach spaces
Mouffak Benchohra
Fatima-Zohra Mostefai
Abstract. The aim of this paper is to investigate a class of boundary value problems for fractional differential equations involving nonlinear integral conditions. The main tool used in our considerations is the technique associated with measures of weak noncompactness.
Keywords: boundary value problem, Caputo fractional derivative, measure of weak noncompactness, Pettis integrals, weak solution.
Mathematics Subject Classification: 26A33, 34B15, 34G20.
- Mouffak Benchohra
- Université de Sidi Bel-Abbes, Laboratoire de Mathématiques, BP 89, 22000 Sidi Bel-Abbes, Algérie
- Fatima-Zohra Mostefai
- Université de Saida, Département de Mathématiques, BP 138 Cité Ennasr, 20000 Saida, Algérie
- Received: 2010-12-18.
- Revised: 2011-04-19.
- Accepted: 2011-04-19.
